The triangle is an isosceles triangle so that means the base angles must be congruent.
The sum of the interior angles of a triangle add up to 180 degrees.
Subtract 52 degrees from 180 degrees.
180 - 52 = 128
Divide 128 degrees by 2.
128/2 = 64
m∠X = 64°
Answer:
z = -26
Step-by-step explanation:
6+z/10= -2
6 + z = -2 (10)
z = -20 - 6
z = -26
Answer:
(-8, -6)
Step-by-step explanation:
When you graph the given equation on the given graph, you find the lines intersect at (-8, -6).
The solution to the system is (-8, -6).
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The equation is given in slope-intercept form, so you can find the y-intercept (y=10) and draw a line with slope 2 from there. It will go through (-5, 0), so you know the solution lies in the 3rd quadrant and has an x-value less than -5. Only one answer choice matches.
5(x + 1) (3x - 8)
Hope this helps!
Step-by-step explanation:
According to factor theorem, if x − c is a factor of f(x), then f(c) = 0.
Conversely, if f(c) = 0, then x −c is a factor of f(x).
a) If x − 3 is a factor of f(x), then f(3) will be 0.
f(3) = 4(3)³ − 12(3)² + 2(3) − 6
f(3) = 0
b) Having shown that x − 3 is a factor of f(x), we can use grouping or long division to factor f(x):
f(x) = 4x³ − 12x² + 2x − 6
f(x) = 4x² (x − 3) + 2 (x − 3)
f(x) = (4x² + 2) (x − 3)
Since 4x² + 2 has only imaginary zeros, 3 is the only real root.